Finding the Fourth Proportional to 9,854.44, 13,601.46 and 5,665.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.44 : 13,601.46 = 5,665.12 : x
2. Step 2: Convert to fraction form
   9,854.44/13,601.46 = 5,665.12/x
3. Step 3: Cross multiply
   9,854.44x = 13,601.46 × 5,665.12
4. Step 4: Simplify right side
   9,854.44x = 77,053,903.08
5. Step 5: Solve for x
   x = 77,053,903.08/9,854.44
6. Step 6: Final answer
   x = 7,819.21